Articles written in Pramana – Journal of Physics
Volume 73 Issue 2 August 2009 pp 279-286
The non-equivalence of the presence of antilinear symmetry and pseudo-Hermiticity is shown for bounded operators. Two appropriate examples are operators with non-empty residual spectrum. The class of operators for which the equivalence holds is extended to the spectral operators of scalar type. The importance of 𝐽-self-adjointness is stressed and new proofs using this property are provided.